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podryga [215]
2 years ago
10

Could someone help me with this problem?

Mathematics
1 answer:
Alisiya [41]2 years ago
3 0
The answer is root 65
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The sum of two numbers is 9. And the sum of their reciprocals is 1/2.find the numbers
Musya8 [376]
Set up a system of equations:

x + y = 9
1/x +1/y = 1/2

The easiest way to solve would be substitution.
x + y = 9 can be solved for y:

y = 9 - x

Then plug this into the second equation and solve for x:

1/x + 1/(9-x) = 1/2
(9-x) + x = x(9-x)/2
9 = (9x-x²)2
18 = 9x - x²
x² - 9x + 18 = 0
(x-6)(x-3) = 0
x = 6, 3

You can check your answer by plugging the two numbers back into both of the equations:

6 + 3 = 9
1/6 + 1/3 = 1/2

The two numbers are 6 and 3.
7 0
2 years ago
Kevin wants a new paddle board and will buy a package consisting of a board, custom fin, and paddle. If he can select 7 boards,
RideAnS [48]

Answer:

7 packages are available for Kevin

8 0
3 years ago
If augustin has 1/4 as many cards as mateo.Mateo has 1/2 as many cards as amaro .Who has the most cards?
disa [49]
Let Amaro has x number of cards,
Mateo = 1/2x
Augustin = 1/4 x 1/2x = 1/8x

Answer: Amaro has the most cards.

4 0
3 years ago
Pls help me, all of this I’m sending is due by 11:59pm. And my time right now is 9:16pm. So plsss
yan [13]

Answer:

4(7y - 9)

Step-by-step explanation:

The greatest common factor you can factor out of both monomials is 4.

28y - 36

4(7y - 9)

4 0
2 years ago
Read 2 more answers
Need help please ! parallelogram
OverLord2011 [107]

Answer:

11). m∠W = 70°

12). m∠M = 95°

13). m∠Q = 135°

14). m∠Q = 55°

15). m∠X = 110°

Step-by-step explanation:

11). m∠W + m∠X = 180° [Consecutive interior angles]

    (24x - 2) + (36x + 2) = 180°

     60x = 180°

     x = \frac{180}{60}

     x = 3

     Therefore, m∠W = (24x - 2)°

     m∠W = (24×3 - 2)

               = 72 - 2

               = 70°

     Since opposite angles of a parallelogram are equal in measure.

     m∠Y = m∠W = 70°

12). m∠J + m∠K = 180° [Consecutive interior angles]

     (6x + 19) + (8x + 7) = 180°

     14x + 26 = 180

     14x = 180 - 26

     14x = 154

     x = \frac{154}{14}

     x = 11

     m∠K = (8x + 7)

     m∠K = 8×11 + 7

     m∠K = 95°

     Since m∠M = m∠K

     Therefore, m∠M = 95°

13). m∠Q = m∠S [Opposite angles of a parallelogram]

      x + 135 = 2x + 135

      2x - x = 0

      x = 0

      Therefore, m∠Q = 135°

14). m∠Q = m∠S [Opposite angles of a parallelogram]

      14x - 1 = 13x + 3

      14x - 13x = 3 + 1

      x = 4

      m∠Q = (13x + 3)

                = 13×4 + 3

                = 52 + 3

      m∠Q = 55°

15). m∠Z = m∠X

     (19x - 4) = (17x + 8)

      19x - 17x = 12

      2x = 12

      x = 6

      m∠X = (17x + 8)°

      m∠X = 17×6 + 8

      m∠X = 110°

5 0
2 years ago
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